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If Lisa drives at the rate of $50$ miles per hour it takes her $1.5$ hours to make a $75$ mile trip- how long does the trip take if she drives at a rate of $40$ miles per hour?

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Solve proportions: word problems

Full solution

Q. If Lisa drives at the rate of

50

miles per hour it takes her

1.5

hours to make a

75

mile trip- how long does the trip take if she drives at a rate of

40

miles per hour?

Calculate Distance at $50$ mph: First, let's find out how far Lisa travels at $50$ miles per hour in $1.5$ hours. $\newline$ Distance $=$ Speed $\times$ Time $\newline$ Distance $=$ $50$ mph $\times$ $1.5$ hours $\newline$ Distance $=$ $75$ miles
Calculate Time at $40$ mph: Now, we need to calculate the time it takes to travel the same distance at a slower speed of $40$ miles per hour. $\newline$ Time $=$ Distance $/$ Speed $\newline$ Time $=$ $75$ miles $/$ $40$ mph $\newline$ Time $=$ $1.875$ hours
Convert Time to Minutes: To make it easier to understand, let's convert $1.875$ hours to minutes. $\newline$ $1$ hour $= 60$ minutes $\newline$ $1.875$ hours $= 1.875 \times 60$ minutes $\newline$ $1.875$ hours $= 112.5$ minutes
Round to Nearest Minute: Since we can't have half a minute, let's round it to the nearest whole number. $112.5$ minutes is approximately $113$ minutes.

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